{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "# Omni-test\n",
    "The Omni-test problem is a multi-modal multi-objective optimization problem proposed by Deb in <cite data-cite=\"omni_test\"></cite>. It has two objective\n",
    "functions. Suppose that the dimension of the decision space is $D$, then it has $3^D$ Pareto subsets in the decision\n",
    "space corresponding to the same Pareto front."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## 2-dimensional case\n",
    "### Pareto front"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 387,
       "width": 513
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymoo.problems.multi.omnitest import OmniTest\n",
    "from pymoo.visualization.scatter import Scatter\n",
    "\n",
    "problem = OmniTest(n_var=2)\n",
    "pf = problem.pareto_front(1000)\n",
    "Scatter(title=\"Pareto front\").add(pf).show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "### Pareto set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 385,
       "width": 487
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ps = problem.pareto_set(1000)\n",
    "Scatter(title=\"Pareto set\", labels=[\"$x_1$\", \"$x_2$\"]).add(ps).show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## 3-dimensional case\n",
    "### Pareto front"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 387,
       "width": 507
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "problem = OmniTest(n_var=3)\n",
    "pf = problem.pareto_front(3000)\n",
    "Scatter(title=\"Pareto front\").add(pf).show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pareto set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 340,
       "width": 460
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "ps = problem.pareto_set(1000)\n",
    "sc = Scatter(title=\"Pareto set\", labels=[\"$x_1$\", \"$x_2$\", \"$x_3$\"])\n",
    "sc.add(ps)\n",
    "sc.do()\n",
    "sc.ax.view_init(elev=20, azim=5)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
